An LMI description for the cone of Lorentz-positive maps

DOI10.1080/03081080701251249zbMath1182.15017OpenAlexW1963700989MaRDI QIDQ5426983

Roland Hildebrand

Publication date: 16 November 2007

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080701251249

zbMATH Keywords

second order conehyperbolic polynomialsemidefinite coneLinear Matrix Inequalitypositive semidefinite complex Hermitian matrices

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (7)

SDP reformulation for robust optimization problems based on nonconvex QP duality ⋮ \(p\)-dominant switched linear systems ⋮ Annihilating entanglement between cones ⋮ Input-output gain analysis for linear systems on cones ⋮ Exactness of sums of squares relaxations involving \(3\times 3\) matrices and Lorentz cones ⋮ On Minimal Valid Inequalities for Mixed Integer Conic Programs ⋮ An LMI description for the cone of Lorentz-positive maps II

Cites Work

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• Hyperbolic Polynomials and Convex Analysis
• Robust Convex Optimization
• Separability Criterion for Density Matrices
• Multivariate Nonnegative Quadratic Mappings
• On Cones of Nonnegative Quadratic Functions
• On linear combinations of quadratic forms

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